We show that the gradient of solutions to degenerate parabolic equations of porous medium-type satisfies a reverse H"older inequality in suitable intrinsic cylinders. We modify the by-now classical Gehring lemma by introducing an intrinsic Calder'on-Zygmund covering argument, and we are able to prove local higher integrability of the gradient of a proper power of the solution $u$.

Self-improving property of degenerate parabolic equations of porous medium-type

Ugo Gianazza
;
2019-01-01

Abstract

We show that the gradient of solutions to degenerate parabolic equations of porous medium-type satisfies a reverse H"older inequality in suitable intrinsic cylinders. We modify the by-now classical Gehring lemma by introducing an intrinsic Calder'on-Zygmund covering argument, and we are able to prove local higher integrability of the gradient of a proper power of the solution $u$.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1247666
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 18
  • ???jsp.display-item.citation.isi??? 17
social impact